Warm up Transformations

5

Which equation is an Absolute Value function with a vertical compression by a factor of 1/2, a horizontal translation of left 4, and a vertical translation up 7?

5

Problem 2 Got It? How is the graph of g(x) = x² + 3 different than the parent function f(x) = x² ? What translation occurred?

g(x) is f(x) translated down 3 units

g(x) is f(x) translated left 3 units

g(x) is f(x) translated up 3 units

g(x) is f(x) translated right 3 units

F.BF.3

F.IF.4

F.IF.7.a

5

Problem 2 Got It? How is the graph of h(x) = (x + 1)² different from the parent function f(x) = x² ?

h(x) is f(x) translated left 1 unit

h(x) is f(x) translated up 1 unit

h(x) is f(x) translated down 1 unit

h(x) is f(x) translated right 1 unit

F.BF.3

F.IF.4

F.IF.7.a

5

Problem 4 Got It?

A

B

C

D

F.BF.3

F.IF.4

F.IF.7.a

5

Translations: Match each parabola with its function. Assume that each grid line represents 1 unit.

y = x² - 1
y = (x + 1)² - 2
y = (x - 2)² + 3

F.BF.3

F.IF.4

F.IF.7.a

5

F.BF.3

F.IF.7.c

Warm up Transformations

Which equation is an Absolute Value function with a vertical compression by a factor of 1/2, a horizontal translation of left 4, and a vertical translation up 7?

Problem 2 Got It? How is the graph of g(x) = x² + 3 different than the parent function f(x) = x² ? What translation occurred?

Problem 2 Got It? How is the graph of h(x) = (x + 1)² different from the parent function f(x) = x² ?

Problem 4 Got It?

Translations: Match each parabola with its function. Assume that each grid line represents 1 unit.

Which equation is an Absolute Value function with a vertical compression by a factor of 1/2, a horizontal translation of left 4, and a vertical translation up 7?

Problem 2 Got It? How is the graph of g(x) = x² + 3 different than the parent function f(x) = x² ? What translation occurred?

Problem 2 Got It? How is the graph of h(x) = (x + 1)² different from the parent function f(x) = x² ?

Problem 4 Got It?

Translations: Match each parabola with its function. Assume that each grid line represents 1 unit.

Solve It! The graph of the parent cubic function f(x) = x³ is shown in blue. The red graph is a transformation g of the parent function f. What is an equation for g?